Given sine of x equals negative 5 over 13 and cos x > 0, what is the exact solution of cos 2x?
1 answer:
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Complete Question
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 75% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January ). Suppose we randomly select tweets.
a. What is the expected number of these tweets with no reaction (to the nearest whole number)?
b. What are the variance (to 2 decimals) and standard deviation (to 4 decimals) for the number of these tweets with no reaction? Variance Standard deviation
Answer:
a
The mean is
The variance
The standard deviation is
Step-by-step explanation:
A binomial distribution is mathematically represented as
where n denotes the number of independent trials =200
And p denote the probability of success = 0.75
We also have the probability of failure which is denoted as q and is equivalent to
if p and q are constant then
In binomial distribution the probability of x success and (n-x) is mathematically represented as
Where x= 0,1,2,...,n
Now
Now the mean(Expected number ) of these probability in binomial distribution is mathematically represented as
And the variance is mathematically represented as
And the standard deviation is mathematically represented as
We can obtain the standard z -score of a d
Answer:
The correct option is B.
Step-by-step explanation:
The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).
Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.
Distance formula:
Use distance formula to find the side length.
Since both consecutive sides are equal therefore it is a square.
Area of a square is
Where, a is side length.
The side length of the square is 5. So, area of ABCD is
Therefore the area of quadrilateral is 25 units square. Option B is correct.
